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http://dx.doi.org/10.4134/JKMS.2008.45.4.1101

ON THE COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF DEPENDENT RANDOM VARIABLES UNDER CONDITION OF WEIGHTED INTEGRABILITY  

Baek, Jong-Il (Department of Mathematics Wonkwang University)
Ko, Mi-Hwa (Department of Mathematics and Institute of Natural Science Wonkwang University)
Kim, Tae-Sung (Department of Mathematics Wonkwang University)
Publication Information
Journal of the Korean Mathematical Society / v.45, no.4, 2008 , pp. 1101-1111 More about this Journal
Abstract
Under the condition of h-integrability and appropriate conditions on the array of weights, we establish complete convergence and strong law of large numbers for weighted sums of an array of dependent random variables.
Keywords
complete convergence; strong law of large numbers; h-integrability; asymptotically almost negative associated; negatively quadrant dependent${\varphi}$-mixing;
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